List questions from elementary-functions

Published on 13 May 2015 - 23:49

79

Views

Can $a=\left(\sqrt{2(\sqrt{y}+\sqrt{z})(\sqrt{x}+\sqrt{z})}-\sqrt{y}-\sqrt{z}\right)^2$ be an integer if $x$, $y$, and $z$ are not squares?

Published on 19 May 2015 - 16:52

170

Views

Finding inverses of a function which maps ordered pairs of positive integers onto the positive integers.

Published on 21 May 2015 - 0:42

135

Views

Inverse of $f(x)=x+\sin(x)$

Published on 27 May 2015 - 5:01

125

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Derivation of the Exponential Nature of $e^x$

Published on 30 May 2015 - 6:39

254

Views

Is $\log(x)|1-x/n|^n$ bounded?

Published on 18 Jun 2015 - 18:48

3.5k

Views

Why do un-integrable functions exist?

Published on 23 Jun 2015 - 20:37

78

Views

Is $\sum_{k=0}^\infty \frac{1}{k!!} x^{k!}$ non-elementary?

Published on 24 Jun 2015 - 9:16

6.8k

Views

What do we mean by 'defining a function'?

Published on 30 Jun 2015 - 16:12

1.6k

Views

Why is it that the Lambert W relation cannot be expressed in terms of elementary functions?

Published on 15 Jul 2015 - 21:46

104

Views

Is it possible to find such a $f$?

Published on 03 Aug 2015 - 16:43

542

Views

Is this elementary proof of fundamental theorem of algebra correct?

Published on 04 Aug 2015 - 16:40

836

Views

Simple confusion in complex analysis

Published on 10 Aug 2015 - 0:23

941

Views

Proof that the factorial is nonelementary

Published on 11 Aug 2015 - 3:43

1.6k

Views

Differentiation of Rodrigues' formula

Published on 13 Aug 2015 - 8:16

List Question

Solve $(2+\sqrt{3})^{x/2}+(2-\sqrt{3})^{x/2}=2^x$.

Can $a=\left(\sqrt{2(\sqrt{y}+\sqrt{z})(\sqrt{x}+\sqrt{z})}-\sqrt{y}-\sqrt{z}\right)^2$ be an integer if $x$, $y$, and $z$ are not squares?

Finding inverses of a function which maps ordered pairs of positive integers onto the positive integers.

Inverse of $f(x)=x+\sin(x)$

Derivation of the Exponential Nature of $e^x$

Is $\log(x)|1-x/n|^n$ bounded?

Why do un-integrable functions exist?

Is $\sum_{k=0}^\infty \frac{1}{k!!} x^{k!}$ non-elementary?

What do we mean by 'defining a function'?

Why is it that the Lambert W relation cannot be expressed in terms of elementary functions?

Is it possible to find such a $f$?

Is this elementary proof of fundamental theorem of algebra correct?

Simple confusion in complex analysis

Proof that the factorial is nonelementary

Differentiation of Rodrigues' formula

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